This corollary allows us to create statistical tests, similarly to the case of uncorrelated functions \(f_1, \ldots , f_m\)  from the previous subsection. Take a significance level \(p\) , find the cutoff \(u\)  from (REF ), and reject the mull hypothesis with significance level \(p\)  if \(\tilde{\mathbb {T}}_N > u\)  (analogue of the Box-Pierce test from [1]}), or
\(\tilde{\mathbb {L}}_N > u\)  (analogue of the Ljung-Box test from [2]}).
